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Finding the Fourth Proportional to 4,749.85, 7,121.13 and 1,830.61

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Solution

The fourth proportional to 4,749.85, 7,121.13 and 1,830.61 is: 2,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.85 : 7,121.13 = 1,830.61 : x
  2. Step 2: Convert to fraction form
    4,749.85/7,121.13 = 1,830.61/x
  3. Step 3: Cross multiply
    4,749.85x = 7,121.13 × 1,830.61
  4. Step 4: Simplify right side
    4,749.85x = 13,036,011.79
  5. Step 5: Solve for x
    x = 13,036,011.79/4,749.85
  6. Step 6: Final answer
    x = 2,744.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.